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Finding the Fourth Proportional to 499,274, 748,911 and 166,850

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Solution

The fourth proportional to 499,274, 748,911 and 166,850 is: 250,275

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,274 : 748,911 = 166,850 : x
  2. Step 2: Convert to fraction form
    499,274/748,911 = 166,850/x
  3. Step 3: Cross multiply
    499,274x = 748,911 × 166,850
  4. Step 4: Simplify right side
    499,274x = 124,955,800,350
  5. Step 5: Solve for x
    x = 124,955,800,350/499,274
  6. Step 6: Final answer
    x = 250,275

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.